2003•Unpublished venueRequires access

Comparison between Fokker-Planck Equation and Vlasov Equation in the Research of the Mode Coupling Theory

Jun Ge, 国智元, Guo Zy, YZ Lin

Abstract

Mode coupling theory successfully explains the microwave instability, and the Vlasov equation is the basic of the theory. Fokker-Planck equation describes the distribution of the particles in bunch, which includes damping effect and the quantum excitation effect. We compare the Fokker-Planck equation with the Vlasov equation in the aspects of the origin, physics meaning, solution, and also introduce the method of polynomial expansion to solve the equation.

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Available abstract

Key concepts: Fokker–Planck equation, Physics, Vlasov equation, Coupling (piping), Landau damping, Mode (computer interface), Instability, Quantum electrodynamics